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Displaying 221 – 240 of 677

Gerstenhaber and Batalin-Vilkovisky algebras; algebraic, geometric, and physical aspects

Claude Roger (2009)

Archivum Mathematicum

We shall give a survey of classical examples, together with algebraic methods to deal with those structures: graded algebra, cohomologies, cohomology operations. The corresponding geometric structures will be described(e.g., Lie algebroids), with particular emphasis on supergeometry, odd supersymplectic structures and their classification. Finally, we shall explain how BV-structures appear in Quantum Field Theory, as a version of functional integral quantization.

Global dimension in Noetherian rings and rings with Gabriel and Krull dimension.

Juan Jacobo Simón Pinero (1992)

Publicacions Matemàtiques

In this paper we compute the global dimension of Noetherian rings and rings with Gabriel and Krull dimension by taking a subclass of cyclic modules determined by the Gabriel filtration in the lattice of hereditary torsion theories.

Global Dimension of Differential Operator Rings. IV - Simple Modules.

Kenneth R. Goodearl (1989)

Forum mathematicum

Global Dimension two orders are quasi-hereditary.

Alfred Wiedemann, Steffen König (1990)

Manuscripta mathematica

Global dimensions of dual extension algebras.

Changchang Xi (1995)

Manuscripta mathematica

Global dimensions of subidealizer rings.

Koker, John (1995)

Georgian Mathematical Journal

Gorenstein injective and projective modules.

Overtoun M.G. Jenda, Edgar E. Enochs (1995)

Mathematische Zeitschrift

Gorenstein tiled orders with hereditary ring of multipliers of Jacobson radical.

Kirichenko, Vladimir V., Khibina, Marina A., Zhuravlev, Viktor N. (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Graded-commutativity of the Yoneda product of Hopf bimodules.

Taillefer, Rachel (2003)

AMA. Algebra Montpellier Announcements [electronic only]

Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories

Jolanta Słomińska (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.

Grothendieck and Witt Groups of Orders and Finite Groups.

Winfried Scharlau, Anthony Bak (1974)

Inventiones mathematicae

Grothendieck group for the stable category of symmetric special biserial algebras.

Antipov, M.A. (2005)

Zapiski Nauchnykh Seminarov POMI

Grothendieck groups of invariant ring: linear actions of finite groups.

Martin Lorenz, Kennth A. Brown (1996)

Mathematische Zeitschrift

Grothendieck ring of quantum double of finite groups

Jingcheng Dong (2010)

Czechoslovak Mathematical Journal

Let $k G$ be a group algebra, and $D (k G)$ its quantum double. We first prove that the structure of the Grothendieck ring of $D (k G)$ can be induced from the Grothendieck ring of centralizers of representatives of conjugate classes of $G$ . As a special case, we then give an application to the group algebra $k D_{n}$ , where $k$ is a field of characteristic $2$ and $D_{n}$ is a dihedral group of order $2 n$ .

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